What is meant by pairwise different points?

  • Context: High School 
  • Thread starter Thread starter lavster
  • Start date Start date
  • Tags Tags
    Points
Click For Summary
SUMMARY

Pairwise different points refer to a collection of points where no two points are identical. This terminology is crucial to avoid confusion with the phrase "n different points," which may imply that not all points are equal but does not explicitly state that each point must be unique. The distinction ensures clarity in mathematical discussions regarding point sets.

PREREQUISITES
  • Understanding of basic set theory
  • Familiarity with mathematical terminology
  • Knowledge of point sets in geometry
  • Concept of uniqueness in mathematical contexts
NEXT STEPS
  • Research the concept of set theory and its applications in mathematics
  • Explore the implications of unique points in geometric proofs
  • Learn about different types of point sets, such as finite and infinite sets
  • Investigate how pairwise differences apply in statistical analysis
USEFUL FOR

Mathematicians, educators, students studying geometry or set theory, and anyone interested in the precise definitions of mathematical concepts.

lavster
Messages
213
Reaction score
0
what is meant by pairwise different points?

thanks
 
Mathematics news on Phys.org
A collection of points such that no point is identical to any other.
 
One reason to word it like this is that "n different points" might be confused with "n points not all equal".
 

Similar threads

Undergrad What is meant by Newton's Rules, if A+B=C, A=C and B=C?
  • · Replies 6 ·
Replies
6
Views
1K
MHB Pairwise difference of 20 positive integers. At least four of em are equal.
  • · Replies 6 ·
Replies
6
Views
5K
Undergrad Bivariate correlation does not always catch multicollinearity
  • · Replies 5 ·
Replies
5
Views
2K
MHB Graph: showing that diameter is greater than average pairwise distance
  • · Replies 4 ·
Replies
4
Views
3K
High School How Many Straight Lines to Connect an N by M Array of Points in a Closed Loop?
  • · Replies 25 ·
Replies
25
Views
3K
High School Geometry Puzzle with 20 points in a cross pattern
  • · Replies 31 ·
2
Replies
31
Views
3K
Undergrad Polygon Coordinates given the Area and Center point
  • · Replies 10 ·
Replies
10
Views
2K
High School In a triangle, is the angle between the points of contact of the inscribed circle with the sides 120 degrees?
  • · Replies 2 ·
Replies
2
Views
1K
High School Reprise: Calculate the distance between two points without using a coordinate system
  • · Replies 1 ·
Replies
1
Views
2K
High School Finding the Point: Unveiling Euclid's 'Elements' Redux
  • · Replies 2 ·
Replies
2
Views
1K